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zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
.9999........ is not a number
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
have you taken calculus?
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
http://www.math.com/school/subject2/lessons/S2U2L1DP.html
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
scroll down to number 4, its actaully an easy proof.
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
you will enjoy calculus:)
 one year ago

carson889 Group TitleBest ResponseYou've already chosen the best response.0
Here is an algebraic proof of it: 10x = 9.999999... with x = 0.99999... 10x  x = 9.99999...  0.999999... 9x = 9 Thus, x = 1
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
This question was asked because I was trying to exaplin that inbetween any two numbers is another number, he then said what about .9999999.... and 1, i then tried to explain to him that .99999999.. was not a finite number, then we had this question posted:)
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
there is no amount of 9's that you can write after .9 that will make it equal to 1, but the limit as the amount of 9's goes to infinity is said to equal 1
 one year ago

ByteMe Group TitleBest ResponseYou've already chosen the best response.0
wait... doesn't 0.9999... = 9/10 + 9/100 + 9/1000 + .... an infinite bounded series?
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
The number "0.9999..." can be "expanded" as: 0.9999... = 0.9 + 0.09 + 0.009 + 0.0009 + ...
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
lol, read this. then you will see the point of the question http://openstudy.com/study#/updates/50ab1ceee4b06b5e49334d38
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
So the formula proves that 0.9999... = 1.
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
@skullpatrol ok
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
but .99999...is not a number is the point of this topic
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
0.999999..... is a no. we have tp prove that it is equal to 1
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
its a number if you think about convergence, but you can never write 1 in the form .999999999999, read the last question and you will see the point im trying to make
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
its not a finite number.... it can be looked at as a sequence....at infinity then its a number. I told him that between any two numbers is another number, he then said what about .99999999999..... and 1, this is what followed.
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
Its an extended real number in the since that infinity is an extended real number....
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
"But", some say, "there will always be a difference between 0.9999... and 1." Well, sort of. Yes, at any given stop, at any given stage of the expansion, for any given finite number of 9s, there will be a difference between 0.999...9 and 1. That is, if you do the subtraction, 1 – 0.999...9 will not equal zero. But the point of the "dot, dot, dot" is that there is no end; 0.9999... is inifinte. There is no "last" digit. So the "there's always a difference" argument betrays a lack of understanding of the infinite. (That's not a "criticism", per se; infinity is a messy topic.)
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
right and i dont think he has had calculus...
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
this started with density of rational/irational and archimedes principle on the real line
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
the point is, that there is an infinite amount of numbers between any two numbers a,b where a != b
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
hahhaha.. we are just fighting you and me are absolutely right...it's a skull problem..right??
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
right?? @zzr0ck3r
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
This one might make him want to quit math The infinite amount of numbers between 0,1 is larger than the infinite amount of numbers between 0 and infinity.:)
 one year ago

waterineyes Group TitleBest ResponseYou've already chosen the best response.0
0.9999 is approximately equal to 1 but it is not exactly equal.. \[0.999 \approx 1 \qquad \qquad (0.999 \ne 1)\]
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
got it @skullpatrol
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
this question...lol
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
http://www.math.hmc.edu/funfacts/ffiles/10012.5.shtml
 one year ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.1
can you provide a proof of this ... "This one might make him want to quit math The infinite amount of numbers between 0,1 is larger than the infinite amount of numbers between 0 and infinity.:)"
 one year ago

zzr0ck3r Group TitleBest ResponseYou've already chosen the best response.2
no, my analysis teacher said it two days ago. she said the elemnts between 0 and 1 have more mappings than 0infinity
 one year ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.1
your teacher is either wrong or you have misquoted her
 one year ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.1
the real numbers between 0 and 1 is the same size as the real numbers from 0 to infinity
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
\[1  0.999\cdots = 0.000\cdots = 0\]
 one year ago
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